|Table of Contents|

A New Life Distribution(PDF)

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2012年04期
Page:
18-24
Research Field:
数学
Publishing date:

Info

Title:
A New Life Distribution
Author(s):
Gao YanhongZhou Xiuqing
School of Mathematical Sciences,Nanjing Normal University,Nanjing 210023,China
Keywords:
EM algorithmRayleigh distribution failure rate geometric distribution lifetime distributionsmaximum likelihood estimation
PACS:
O212.1
DOI:
-
Abstract:
A two-parameter distribution with increasing failure rate is introduced. Various properties are discussed and the estimation of parameters is studied by the method of maximum likelihood. The estimates are attained by the EM algorithm and expressions for their asymptotic variances and covariances are obtained.

References:

[1] Adamidis K,LoukasA S. Lifetime distribution with decreasing failure rate[J]. Statistics Probability Letters, 1998, 39( 1) : 35 - 42.
[2] Coskun Kus. A new lifetime distribution[J]. Computational Statistics Data Analysis, 2007, 51( 9) : 4 497 - 4 509.
[3] Rasool Tahmasbia,Sadegh Rezaeib. A two-parameter lifetime distribution with decreasing failure rate[J]. Computational Statistics and Data Analysis, 2008, 52( 8) : 3 889 - 3 901.
[4] Chen Zhenmin. A new two-parameter lifetime distribution with bathtub shape or increasing failure rate function[J]. Statistics Probability Letters, 2000, 49( 2) : 155 - 161.
[5] Xie M,Tang Y,Goh T N. A modified Weibull extension with bathtub-shaped failure rate function[J]. Reliability Engineering and System Safety, 2002, 76( 3) : 279 - 285.
[6] Wu Zhongwu,Lu Hailin,Chen Chonghong,et al. Statistical inference about the shape parameter of the new two-parameter bathtub-shaped lifetime distribution[J]. Research, 2004, 20( 6) : 607 - 616.
[7] 刘式适,刘式达. 特殊函数[M]. 北京: 气象出版社, 2002: 2 - 10.
[8] Dempster A P,Laird N M,Rubin D B. Maximum likelihood from incomplete data via the EM algorithm[J]. Journal of the Royal Statistical Society B, 1977, 39( 1) : 1 - 38.
[9] 王松桂. EM 算法[J]. 应用数学与计算数学, 1983( 6) : 43 - 48.

Memo

Memo:
-
Last Update: 2013-03-11